Question

solve each equation.

1. ( 6a + 3 = 9 )
2. ( k - 5 = 2 )
3. ( 1 + p = 6 )
4. ( c - 10 = 4 )
5. ( 8 + m = 12 )
6. ( 20d - 3 = 17 )
7. ( f + 9 = 11 )
8. ( r - 15 = 20 )
9. ( 13 + n = 26 )
10. ( h - 16 = 22 )
11. ( x + 18 = 35 )
12. ( g - 29 = 14 )
13. ( 21 + z = 50 )
14. ( u - 32 = 19 )
15. ( s + 31 = 64 )
16. ( b - 28 = 28 )
17. ( 16 + y = 65 )
18. ( v - 18 = 57 )

Explanation:

Problem 1: Solve \( 6a + 3 = 9 \)

Step 1: Subtract 3 from both sides

To isolate the term with \( a \), we subtract 3 from both sides of the equation.
\( 6a + 3 - 3 = 9 - 3 \)
\( 6a = 6 \)

Step 2: Divide both sides by 6

To solve for \( a \), we divide both sides of the equation by 6.
\( \frac{6a}{6} = \frac{6}{6} \)
\( a = 1 \)

Step 1: Add 5 to both sides

To isolate \( k \), we add 5 to both sides of the equation.
\( k - 5 + 5 = 2 + 5 \)
\( k = 7 \)

Step 1: Subtract 1 from both sides

To isolate \( p \), we subtract 1 from both sides of the equation.
\( 1 + p - 1 = 6 - 1 \)
\( p = 5 \)

Answer:

\( a = 1 \)

Problem 2: Solve \( k - 5 = 2 \)